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Physics / College Physics 1 / Chapter 6 / Problem 23

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

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(a) A 22.0 kg child is riding a playground merry-go-round

Chapter 6, Problem 23

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QUESTION:

Problem 23PE

(a) A 22.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min. What centripetal force must she exert to stay on if she is 1.25 m from its center?

(b) What centripetal force does she need to stay on an amusement park merry-go-round that rotates at 3.00 rev/min if she is 8.00 m from its center?

(c) Compare each force with her weight.

Questions & Answers

QUESTION:

Problem 23PE

(a) A 22.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min. What centripetal force must she exert to stay on if she is 1.25 m from its center?

(b) What centripetal force does she need to stay on an amusement park merry-go-round that rotates at 3.00 rev/min if she is 8.00 m from its center?

(c) Compare each force with her weight.

ANSWER:

Solution

Step 1 of Step 4

A)

We have to find the centripetal force of the rotating merry-go-round from its center. Given mass of a child m=25 kg, angular acceleration $\omega{}=40\ rev/min$ and r is the radius from the center of rotating merry-go-round r=1.25m

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